Suppose that [math] is a smooth function and that its partial derivatives have the values, [math] and [math]. Given that [math], use this information to estimate the value of [math]. Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation.
Estimate of (integer value) [math]
Estimate of (integer value) [math]
Estimate of (integer value) [math]